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Hypergraph Computation

Engineering
Practical real-world scenarios such as the Internet, social networks, and biological networks present the challenges of data scarcity and complex correlations, which limit the applications of artificial intelligence. The graph structure is a typical tool
Yue Gao, Shuyi Ji, Xiangmin Han
exaly   +4 more sources

Learning fuzzy representations for hypergraph node classification [PDF]

Scientific Reports
As an extension of standard graphs, hypergraphs have demonstrated significant advantages in modeling high-order complex relationships compared with standard graphs. Existing literature has witnessed the great success of hypergraph representation learning
Zhishu Sun, Ruijing Geng, Ge Zhang
doaj   +2 more sources

Spatiotemporal Fusion for Stock Prediction via Hypergraph Attention Gated Recurrent Units [PDF]

Entropy
Stock prediction requires the joint modeling of temporal dynamics and cross-stock dependence. Existing graph-based and hypergraph-based forecasting methods often process spatial relation modeling and temporal evolution in separate stages, which may ...
Xinmei Cao, Chonghui Qian, Hengjun Huang
doaj   +2 more sources

On edge product hypergraphs [PDF]

Journal of Hyperstructures, 2021
In this paper we introduced the notion of an edge product hypergraph. A hypergraph H is said to be an edge producthypergraph if edges of hypergraph can be labeled with distinct positive integers such that the product of all the labels of edges incident ...
Kishor F. Pawar, Megha M. Jadhav
doaj   +1 more source

Multimodal Data Fusion Algorithm Based on Hypergraph Regularization [PDF]

Jisuanji kexue, 2023
The multi-modal data fusion improves the performance of data classification and prediction by learning the correlation information and complementary information between multiple datasets.However,existing data fusion methods are based on feature pattern ...
CUI Bingjing, ZHANG Yipu, WANG Biao
doaj   +1 more source

Unified Low-Rank Subspace Clustering with Dynamic Hypergraph for Hyperspectral Image

Remote Sensing, 2021
Low-rank representation with hypergraph regularization has achieved great success in hyperspectral imagery, which can explore global structure, and further incorporate local information.
Jinhuan Xu, Liang Xiao, Jingxiang Yang
doaj   +1 more source

On domination in an edge product hypergraphs [PDF]

Journal of Hyperstructures, 2021
In this paper, we study domination in an edge product hypergraphs and found some results on it. It is proved that theunit edge in a unit edge product hypergraph is a dominating set of hypergraph H.
Kishor F. Pawar, Megha M. Jadhav
doaj   +1 more source

Automatic Software Module Partition Based on Hypergraph Model [PDF]

Jisuanji gongcheng, 2016
This paper applies the hypergraph model to design automatic software module partition algorithm.Under the hypergraph modeling,each significant class extracted from the source codes of an analyzing software system is abstracted as a vertex of a hypergraph,
WEI Xiaofeng,HU Jicheng,LUO Yong’en
doaj   +1 more source

The treewidth of 2-section of hypergraphs [PDF]

Discrete Mathematics & Theoretical Computer Science, 2021
Let $H=(V,F)$ be a simple hypergraph without loops. $H$ is called linear if $|f\cap g|\le 1$ for any $f,g\in F$ with $f\not=g$. The $2$-section of $H$, denoted by $[H]_2$, is a graph with $V([H]_2)=V$ and for any $ u,v\in V([H]_2)$, $uv\in E([H]_2)$ if ...
Ke Liu, Mei Lu
doaj   +1 more source

Multi-site Hyper-graph Convolutional Neural Networks and Application [PDF]

Jisuanji kexue, 2022
Recently,the exploitation of graph neural networks for neurological brain disorder diagnosis has attracted much attention.However,the graphs used in the existing studies are usually based on the pairwise connections of different nodes,and thus cannot ...
ZHOU Hai-yu, ZHANG Dao-qiang
doaj   +1 more source